메뉴 건너뛰기




Volumn 45, Issue 2, 2015, Pages 105-133

Perspectives of the Numerical Order of Material Changes in Timeless Approaches in Physics

Author keywords

General relativity; Numerical order of material changes; Quantum mechanics; Space; Time; Timeless approaches

Indexed keywords


EID: 84921935873     PISSN: 00159018     EISSN: 15729516     Source Type: Journal    
DOI: 10.1007/s10701-014-9840-y     Document Type: Article
Times cited : (12)

References (53)
  • 1
    • 85067719746 scopus 로고
    • Die Mechanik in ihrer Entwicklung historisch-kritsch dargestellt. Barth, Leipzig (1883)
    • Open Court, Chicago:
    • Mach, E.: Die Mechanik in ihrer Entwicklung historisch-kritsch dargestellt. Barth, Leipzig (1883). In: English Translation: The Science of Mechanics, Open Court, Chicago (1960)
    • (1960) English Translation: The Science of Mechanics
    • Mach, E.1
  • 4
    • 0020478179 scopus 로고
    • Mach’s principle and the structure of dynamical theories
    • Barbour, J.B., Bertotti, B.: Mach’s principle and the structure of dynamical theories. Proc. R. Soc. A 382(1783), 295–306 (1982)
    • (1982) Proc. R. Soc. A , vol.382 , Issue.1783 , pp. 295-306
    • Barbour, J.B.1    Bertotti, B.2
  • 5
    • 24344441989 scopus 로고    scopus 로고
    • Anderson, E., Barbour, J.B., Foster, B.Z., Kelleher, B. Murchadha, N.Ó.: “The physical gravitational degrees of freedom”. Class. Quantum Gravity 22, 1795–1802 (2005). e-print
    • Anderson, E., Barbour, J.B., Foster, B.Z., Kelleher, B. Murchadha, N.Ó.: “The physical gravitational degrees of freedom”. Class. Quantum Gravity 22, 1795–1802 (2005). e-print arXiv:gr-qc/0407104
  • 6
    • 0036294389 scopus 로고    scopus 로고
    • Barbour, J.B., Foster, B.Z. Murchadha, N.Ó: “Relativity without relativity”. Class. Quantum Gravity 19, 3217–3248 (2002). e-print.
    • Barbour, J.B., Foster, B.Z. Murchadha, N.Ó: “Relativity without relativity”. Class. Quantum Gravity 19, 3217–3248 (2002). e-print arXiv:gr-qc/0012089.
  • 7
    • 0037273926 scopus 로고    scopus 로고
    • Anderson, E., Barbour, J.B., Foster, B., Murchadha, N.Ó.: “Scale-invariant gravity: Geometrodynamics”. Class. Quantum Gravity 20, 1543–1570 (2003). e-print
    • Anderson, E., Barbour, J.B., Foster, B., Murchadha, N.Ó.: “Scale-invariant gravity: Geometrodynamics”. Class. Quantum Gravity 20, 1543–1570 (2003). e-print arXiv:gr-qc/0211022
  • 9
    • 84870975859 scopus 로고    scopus 로고
    • Anderson, E.: “Problem of time in quantum gravity”. Annalen der Physik 524(12), 757–786 (2012). e-print [gr-qc] (2012)
    • Anderson, E.: “Problem of time in quantum gravity”. Annalen der Physik 524(12), 757–786 (2012). e-print arXiv:1206.2403v2 [gr-qc] (2012)
  • 10
    • 36049055961 scopus 로고
    • Quantum theory of gravity. 1. The canonical theory
    • DeWitt, B.S.: Quantum theory of gravity. 1. The canonical theory. Phys. Rev. 160(5), 1113–1148 (1967)
    • (1967) Phys. Rev. , vol.160 , Issue.5 , pp. 1113-1148
    • DeWitt, B.S.1
  • 11
    • 0003472473 scopus 로고
    • Canonical quantum gravity and the problem of time
    • Isham, C.J.: “Canonical quantum gravity and the problem of time”. arXiv:gr-qc/9210011v1 (1992)
    • (1992)
    • Isham, C.J.1
  • 12
    • 85139798208 scopus 로고    scopus 로고
    • Gambini, R., Pullin, J.: “Relational physics with real rods and clocks and the measurement problem of quantum mechanics”. Found. Phys. 37(7), 1074–1092 (2007). e-print
    • Gambini, R., Pullin, J.: “Relational physics with real rods and clocks and the measurement problem of quantum mechanics”. Found. Phys. 37(7), 1074–1092 (2007). e-print arXiv:quant-ph/0608243
  • 13
    • 38849196973 scopus 로고    scopus 로고
    • Gambini, R., Porto, R.A., Pullin, J.: “Lost of entanglement in quantum mechanics due to the use of realistic measuring rods”. Phys. Lett. A 372(8), 1213–1218 (2008). e-print [quant-ph]
    • Gambini, R., Porto, R.A., Pullin, J.: “Lost of entanglement in quantum mechanics due to the use of realistic measuring rods”. Phys. Lett. A 372(8), 1213–1218 (2008). e-print arXiv:0708.2935 [quant-ph]
  • 14
    • 34547240805 scopus 로고    scopus 로고
    • Gambini, R., Porto, R.A., Pullin, J.: “Fundamental decoherence from quantum gravity: a pedagogical review”. Gener. Relativ. Gravit. 39(8), 1143–1156 (2007). e-print
    • Gambini, R., Porto, R.A., Pullin, J.: “Fundamental decoherence from quantum gravity: a pedagogical review”. Gener. Relativ. Gravit. 39(8), 1143–1156 (2007). e-print arXiv:gr-qc/0603090
  • 15
    • 85067712826 scopus 로고    scopus 로고
    • Gambini, R., Porto, R.A., Pullin, J.: “Free will, undecidability, and the problem of time in quantum gravity”. (2009) [quant-ph]
    • Gambini, R., Porto, R.A., Pullin, J.: “Free will, undecidability, and the problem of time in quantum gravity”. (2009) arXiv:0903.1859v1 [quant-ph]
  • 18
    • 84878678590 scopus 로고    scopus 로고
    • Chiou, D.-W.: “Timeless path integral for relativistic quantum mechanics”. Class. Quantum Gravity 30(12), 125004 (2013). e-print [gr-qc] (2009)
    • Chiou, D.-W.: “Timeless path integral for relativistic quantum mechanics”. Class. Quantum Gravity 30(12), 125004 (2013). e-print arXiv:1009.5436v3 [gr-qc] (2009)
  • 21
    • 1542788456 scopus 로고
    • The timelessness of quantum gravity. 1: The evidence from the classical theory
    • Barbour, J.B.: The timelessness of quantum gravity. 1: The evidence from the classical theory. Class. Quantum Gravity 11, 2853–2873 (1994)
    • (1994) Class. Quantum Gravity , vol.11 , pp. 2853-2873
    • Barbour, J.B.1
  • 23
    • 85067704110 scopus 로고    scopus 로고
    • E.: “The problem of time and quantum cosmology in the relational particle mechanics arena”. (2011)
    • Anderson, E.: “The problem of time and quantum cosmology in the relational particle mechanics arena”. (2011). arXiv:1111.1472
    • arXiv:1111
    • Anderson, E.1
  • 25
    • 0002795857 scopus 로고
    • G.M.: “Astronomical time
    • Clements, G.M.: “Astronomical time”. Rev. Mod. Phys. 29(1), 2–8 (1957)
    • (1957) Rev. Mod. Phys , vol.29 , Issue.1 , pp. 2-8
  • 26
    • 77749308488 scopus 로고    scopus 로고
    • Gryb, S.: “Jacobi’s principle and the disappearance of time”. Phys. Rev. D 81, 044035 (2010). e-print v3 [gr-qc]
    • Gryb, S.: “Jacobi’s principle and the disappearance of time”. Phys. Rev. D 81, 044035 (2010). e-print arXiv: 0804.2900v3 [gr-qc]
  • 27
    • 23044475156 scopus 로고
    • Feynman integral for singular Lagrangians
    • Faddeev, L.D.: Feynman integral for singular Lagrangians. Theor. Math. Phys. 1(1), 1–13 (1969)
    • (1969) Theor. Math. Phys. , vol.1 , Issue.1 , pp. 1-13
    • Faddeev, L.D.1
  • 28
    • 22244465973 scopus 로고
    • Time in quantum gravity: an hypothesis
    • Rovelli, C.: Time in quantum gravity: an hypothesis. Phys. Rev. D 43(2), 442–456 (1991)
    • (1991) Phys. Rev. D , vol.43 , Issue.2 , pp. 442-456
    • Rovelli, C.1
  • 29
    • 33750373970 scopus 로고
    • Quantum mechanics without time: a model
    • Rovelli, C.: Quantum mechanics without time: a model. Phys. Rev. D 42(8), 2638–2646 (1991)
    • (1991) Phys. Rev. D , vol.42 , Issue.8 , pp. 2638-2646
    • Rovelli, C.1
  • 30
    • 4243491473 scopus 로고
    • Quantum evolving constants
    • Rovelli, C.: Quantum evolving constants. Phys. Rev. D 44(4), 1339–1341 (1991)
    • (1991) Phys. Rev. D , vol.44 , Issue.4 , pp. 1339-1341
    • Rovelli, C.1
  • 31
    • 33845343289 scopus 로고
    • What is observable in classical and quantum gravity?
    • Rovelli, C.: What is observable in classical and quantum gravity? Class. Quantum Gravity 8, 297–316 (1991)
    • (1991) Class. Quantum Gravity , vol.8 , pp. 297-316
    • Rovelli, C.1
  • 32
    • 33845289811 scopus 로고
    • Quantum reference systems
    • Rovelli, C.: Quantum reference systems. Class. Quantum Gravity 8, 317–331 (1991)
    • (1991) Class. Quantum Gravity , vol.8 , pp. 317-331
    • Rovelli, C.1
  • 33
    • 0004075314 scopus 로고
    • Is there incompatibility between the ways time is treated in general relativity and in standard quantum mechanics?
    • Ashtekar A, Stachel J, (eds), Birkhauser, New York:
    • Rovelli, C.: “Is there incompatibility between the ways time is treated in general relativity and in standard quantum mechanics?”. In: Ashtekar, A., Stachel, J. (eds.) Conceptual Problems of Quantum Gravity. Birkhauser, New York (1991)
    • (1991) Conceptual Problems of Quantum Gravity
    • Rovelli, C.1
  • 34
    • 51249169025 scopus 로고
    • Analysis of the different meaning of the concept of time in different physical theories
    • Rovelli, C.: Analysis of the different meaning of the concept of time in different physical theories. Il Nuovo Cimento B 110(1), 81–93 (1995)
    • (1995) Il Nuovo Cimento B , vol.110 , Issue.1 , pp. 81-93
    • Rovelli, C.1
  • 35
    • 85038321662 scopus 로고    scopus 로고
    • Rovelli, C.: “Partial observables”. Phys. Rev. D 65, 124013 (2002). e-print
    • Rovelli, C.: “Partial observables”. Phys. Rev. D 65, 124013 (2002). e-print arXiv:gr-qc/0110035
  • 36
    • 85067725069 scopus 로고    scopus 로고
    • A note on the foundation of relativistic mechanics. II: Covariant hamiltonian general relativity
    • Rovelli, C.: “A note on the foundation of relativistic mechanics. II: Covariant hamiltonian general relativity”. arXiv:gr-qc/0202079 (2002)
    • (2002) arXiv:gr-qc/0202079
    • Rovelli, C.1
  • 37
    • 1842855789 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge:
    • Rovelli, C.: Quantum Gravity. Cambridge University Press, Cambridge (2004)
    • (2004) Quantum Gravity
    • Rovelli, C.1
  • 38
    • 33846509180 scopus 로고
    • Statistical mechanics of gravity and thermodynamical origin of time
    • Rovelli, C.: Statistical mechanics of gravity and thermodynamical origin of time. Classical and Quantum Gravity 10(8), 1549–1566 (1993)
    • (1993) Classical and Quantum Gravity , vol.10 , Issue.8 , pp. 1549-1566
    • Rovelli, C.1
  • 39
    • 21144471643 scopus 로고
    • The statistical state of the universe
    • Rovelli, C.: The statistical state of the universe. Class. Quantum Gravity 10(8), 1567–1578 (1993)
    • (1993) Class. Quantum Gravity , vol.10 , Issue.8 , pp. 1567-1578
    • Rovelli, C.1
  • 41
    • 44649158298 scopus 로고    scopus 로고
    • Projection evolution and delayed choice experiment
    • Gózdz, A., Stefanska, K.: Projection evolution and delayed choice experiment. J. Phys. 104, 012007 (2008)
    • (2008) J. Phys. , vol.104 , pp. 012007
    • Gózdz, A.1    Stefanska, K.2
  • 42
    • 79952525994 scopus 로고    scopus 로고
    • Time is a reference system derived from light speed
    • Sorli, A., Fiscaletti, D., Klinar, D.: Time is a reference system derived from light speed. Phys. Essays 23(2), 330–332 (2010)
    • (2010) Phys. Essays , vol.23 , Issue.2 , pp. 330-332
    • Sorli, A.1    Fiscaletti, D.2    Klinar, D.3
  • 43
    • 79959428398 scopus 로고    scopus 로고
    • Replacing time with numerical order of material change resolves Zeno problems on motion
    • Sorli, A., Fiscaletti, D., Klinar, D.: Replacing time with numerical order of material change resolves Zeno problems on motion. Phys. Essays 24(1), 11–15 (2011)
    • (2011) Phys. Essays , vol.24 , Issue.1 , pp. 11-15
    • Sorli, A.1    Fiscaletti, D.2    Klinar, D.3
  • 44
    • 85067706673 scopus 로고    scopus 로고
    • Elze, H.T.: “Quantum mechanics and discrete time from “timeless” classical dynamics”. Lect. Notes Phys. 633, 196 (2003).
    • Elze, H.T.: “Quantum mechanics and discrete time from “timeless” classical dynamics”. Lect. Notes Phys. 633, 196 (2003). arXiv:gr-qc/0307014v1
  • 45
    • 0037104533 scopus 로고    scopus 로고
    • Time without time: a stochastic clock model
    • Elze, H.T., Schipper, O.: Time without time: a stochastic clock model. Phys. Rev. D 66, 044020 (2002)
    • (2002) Phys. Rev. D , vol.66 , pp. 044020
    • Elze, H.T.1    Schipper, O.2
  • 46
    • 0037437075 scopus 로고    scopus 로고
    • Emergent discrete time and quantization: relativistic particle with extra dimensions
    • Elze, H.T.: Emergent discrete time and quantization: relativistic particle with extra dimensions. Phys. Lett. A 310(2–3), 110–118 (2003)
    • (2003) Phys. Lett. A , vol.310 , Issue.2-3 , pp. 110-118
    • Elze, H.T.1
  • 47
    • 79955830348 scopus 로고    scopus 로고
    • Caticha, A.: “Entropic dynamics, time and quantum theory”. J. Phys. A 44(22), 225303 (2011). e-print [quant-ph]
    • Caticha, A.: “Entropic dynamics, time and quantum theory”. J. Phys. A 44(22), 225303 (2011). e-print arXiv:1005.2357v3 [quant-ph]
  • 48
    • 85067713488 scopus 로고    scopus 로고
    • Prati, E.: “The nature of time: from a timeless Hamiltonian framework to clock time of metrology”. (2009) [physics.class-ph]
    • Prati, E.: “The nature of time: from a timeless Hamiltonian framework to clock time of metrology”. (2009) arXiv:0907.1707v1 [physics.class-ph]
  • 49
    • 85067709026 scopus 로고    scopus 로고
    • Anderson, E.: “Machian classical and semiclassical emergent time”. (2013) [gr-qc]
    • Anderson, E.: “Machian classical and semiclassical emergent time”. (2013) arXiv:1305.4685v2 [gr-qc]
  • 50
    • 84943165863 scopus 로고    scopus 로고
    • C.: “Loop quantum gravity”. Living
    • Rovelli, C.: “Loop quantum gravity”. Living Rev. Relativ. 1(1), (1998). doi:10.12942/lrr-1998-1
    • (1998) Rev. Relativ , vol.1 , Issue.1
  • 51
    • 79957455846 scopus 로고    scopus 로고
    • Rovelli, C.: “A new look at loop quantum gravity”. Class. Quantum Gravity 28(11), 114005 (2011). e-print [gr-qc]
    • Rovelli, C.: “A new look at loop quantum gravity”. Class. Quantum Gravity 28(11), 114005 (2011). e-print arXiv:1004.1780v1 [gr-qc]
  • 52
    • 48249135995 scopus 로고
    • Minkowski space-time and dirac vacuum as ultrareferential reference frame
    • Licata, I.: Minkowski space-time and dirac vacuum as ultrareferential reference frame. Hadron. J. 14, 3 (1991)
    • (1991) Hadron. J. , vol.14 , pp. 3
    • Licata, I.1
  • 53
    • 79959484679 scopus 로고    scopus 로고
    • New insights into the special theory of relativity
    • Sorli, A., Klinar, D., Fiscaletti, D.: New insights into the special theory of relativity. Phys. Essays 24, 2 (2011)
    • (2011) Phys. Essays , vol.24 , Issue.2 , pp. 177
    • Sorli, A.1    Klinar, D.2    Fiscaletti, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.